M(-3)³+9=9•(-3)m+9=9(-3m+1)
a³ - b³ = (a - b)(a² + ab + b²)
a³ + b³ = (a + b)(a² - ab + b²)
a² - b² = (a - b)(a + b)
(x³ - 1)(x⁶ + x³ + 1) = x⁹ - 1
(x³ + 1)(x⁶ - x³ + 1) = x⁹ + 1
(x³-1)(x³+1)(x¹⁸+1)(x³⁶+1)(x⁶+x³+1)(x⁶ -x³+1) = (x⁹ - 1)(x⁹ + 1)(x¹⁸+1)(x³⁶+1) = (x¹⁸-1) (x¹⁸+1)(x³⁶+1) = (x³⁶-1)(x³⁶+1) = x⁷²- 1
17/2+15/7*11/36-15/7*13/60=17/2+165/252-13/28=2142/252+165/252-117/252=2190/252=1095/126=8(целых)
87/126
Х2-5х+k=0;х=-3
(-3)^2-5(-3)+k=0
9+15+k=0
K=-24
X2-5x-24=0;D=b^2-4ac=25+96=121
X2=(5+11)/2=8
Ответ:к=-24,х2=8
3х2+8х+k=0;x=-3
3(-3)^2+8(-3)+k=0
27-24+k=0
K=-3
3x2+8x-3=0
D=64+36=100
X2=(-8+10)/6=2/6=1/3
Ответ:k=-3,x2=1/3
X2+kx+18=0;x=-3
(-3)^2+k(-3)+18=0
9-3k+18=0
-3k+27=0
-3k=-27
K=9
X2+9x+18=0; x=-3
D=81-72=9
X2=(-9-3)/2=-12/2=-6
Ответ: k=9, x2=-6
5x2+kx-12=0;x=-3
5(-3)^2+k(-3)-12=0;x=-3
45-3k-12=0
-3k+33=0
-3k=-33
K=11
5x2+11x-12=0;x=-3
D=121+240=361
X2=(-11+19)/10=8/10=4/5
Ответ:k=11 x2=4/5
2sin2x>-√2
sin2x=-√2/2
-π/4+2πn≤2x≤5π/4+2πn,n∈z
-π/8+πn≤x≤8π/8+πn,n∈z